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Question 4 1 2 3 4 5 6 7 8 9 1 (This final exam question is worth 10 points) Consider the following nonhomogeneous linear differential equation ay(5) + by(5) + cy(4) + dy"+ ky" + my"+ my=3xex - - cos(2x) where coefficients a, b, c, d, k, m, n are constant. Assume that the general solution of the associated homogeneous linear differential equation is YA =C + Cze"* + Cze * + caxe?* + cocos(2x) + cosin(2x). What is the correct form of the particular solution y, of given nonhomogeneous linear differential equation? Your answer: O yo = Ax ex+ Bx-e *+ Cx cos(2x) + Dx sin(2x) + Ex cos(2x) + Fx-sin(2x) y = Ax ex + Bx e?* + Cx cos(2x) + Dx sin(2x) + Excos(2x) + Fxsin(2x) o yo = Ax ex + Bxe2* + Cx cos(2x) + Dx sin(2x) + Excos(2x) + Fxsin(2x) o yo =Axe2* + Bxe?*+ Cxcos(2x) + Dxsin(2x)+ Ecos(2x) +Fsin(2x) O None of the above Clear answer Pause test W Wind